Finding the Third Proportional to 32,082 and 71,274

Step by Step Solution

1. Step 1: Write the proportion equation
   32,082 : 71,274 = 71,274 : x
2. Step 2: Convert to fraction form
   32,082/71,274 = 71,274/x
3. Step 3: Cross multiply
   32,082x = 71,274 × 71,274
4. Step 4: Simplify right side
   32,082x = 5,079,983,076
5. Step 5: Solve for x
   x = 5,079,983,076/32,082
6. Step 6: Final answer
   x = 158,343.72